A box is sliding with a constant speed of 4.00 m>s inthe +x-direction on a horizontal, frictionless surface. At x = 0 thebox encounters a rough patch of the surface, and then the surface becomeseven rougher. Between x = 0 and x = 2.00 m, the coefficientof kinetic friction between the box and the surface is 0.200; betweenx = 2.00 m and x = 4.00 m, it is 0.400. How much time does it take the box to come to rest after it first encounters the rough patch at x = 0?

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Metrology of surface finish

In general terms, the application of scientific principles in the study of measurements is known as metrology. When speaking about measurement, it could be of time, length, microstructures, grain structures, internal crystal discontinuities, surface roughness, measurements of angles, height, width, and so on. While coming to the domain of mechanical engineering, metrology is considered the science of measurements of surface finish, length, surface texture, and angles.